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We have investigated the black hole thermodynamics and the phase transition for renormalized group improved asymptotically safe Schwarzschild black hole. This geometry takes into account the quantum gravitational correction in the running…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Rituparna Mandal , Sunandan Gangopadhyay

We study the thermodynamics of G\"{o}del-type rotating charged black holes in five-dimensional minimal supergravity. These black holes exhibit some peculiar features such as the presence of closed time-like curves and the absence of…

High Energy Physics - Theory · Physics 2011-02-22 Shuang-Qing Wu , Jun-Jin Peng

In the standard viewpoint, the temperature of a stationary black hole is proportional to its surface gravity, $T_H=\hbar\kappa/2\pi$. This is a semiclassical result and the quantum gravity effects are not taken into consideration. This…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Li Xiang , X. Q. Wen

We first show that stationary black holes satisfy an extremely simple local form of the first law \delta E=\kappa(l) \delta A/(8 \pi) where the thermodynamical energy E=A/(8\pi l) and (local) surface gravity \kappa(l)=1/l, where A is the…

General Relativity and Quantum Cosmology · Physics 2011-12-19 Ernesto Frodden , Amit Ghosh , Alejandro Perez

A genuine notion of black holes can only be obtained in the fundamental framework of quantum gravity resolving the curvature singularities and giving an account of the statistical mechanical, microscopic degrees of freedom able to explain…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Christian Röken

It is known now that a typical gravitational collapse in general relativity, evolving from regular initial data and under physically reasonable conditions would end in either a black hole or a naked singularity final state. An important…

General Relativity and Quantum Cosmology · Physics 2011-06-21 Daniele Malafarina , Pankaj S. Joshi

Black hole thermodynamics provides a unique setting in which general relativity, quantum field theory, and statistical mechanics converge. In semiclassical gravity, this interplay culminates in the generalized second law (GSL), whose modern…

High Energy Physics - Theory · Physics 2026-01-08 Antoine Rignon-Bret , Matthieu Vilatte

Black holes have their own thermodynamics including notions of entropy and temperature and versions of the three laws. After a light introduction to black hole physics, I recollect how black hole thermodynamics evolved in the 1970's, while…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

In this article, we revisit the thermodynamics of Hayward black holes [1] in asymptotic flat spacetime and obtain the bounds on the final mass post merger after head-on collision event of two equal mass black holes. We revisit thermal…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Neeraj Kumar , Ankur Srivastav , Phongpichit Channuie

We give a general derivation, for any static spherically symmetric metric, of the relation $T_h=\frac{\cal K}{2\pi}$ connecting the black hole temperature ($T_h$) with the surface gravity ($\cal K$), following the tunneling interpretation…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Bibhas Ranjan Majhi , Saurav Samanta

In this paper we consider a metric of a rotating black hole in conformal gravity. We calculate the thermodynamical quantities for this rotating black hole including Hawking temperature and entropy in four dimensional space-time, as we…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Negin Kamvar , Reza Saffari , Saheb Soroushfar

A brief overview of the discovery that macroscopic black holes are thermodynamical systems is presented. They satisfy the laws of thermodynamics and are associated with a temperature and an entropy equal to one quarter of their horizon area…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Alejandro Perez

The Hawking temperature for Schwarzschild black hole $T_H=1/8\pi M$ is singular in the limit of vanishing mass $M\to 0$. However, the Schwarzschild metric itself is regular in this limit, it is reduced to the Minkowski metric and there are…

High Energy Physics - Theory · Physics 2021-04-27 Irina Aref'eva , Igor Volovich

A local Hawking temperature is derived for any future outer trapping horizon in spherical symmetry, using a Hamilton-Jacobi variant of the Parikh-Wilczek tunneling method. It is given by a dynamical surface gravity as defined geometrically.…

General Relativity and Quantum Cosmology · Physics 2009-02-11 S. A. Hayward , R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini

A version of massive gravity, namely conformal massive gravity, is employed to study the behavior of thermodynamic geometry for both the static and the rotating regular black holes. Whereas in thermodynamic geometry singularity can be…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Saheb Soroushfar , Reza Saffari , Amare Abebe , Haidar Sheikhahmadi

During the past 30 years, research in general relativity has brought to light strong hints of a very deep and fundamental relationship between gravitation, thermodynamics, and quantum theory. The most striking indication of such a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Robert M. Wald

In a gedanken experiment in which a box initially containing energy $E$ and entropy $S$ is lowered toward a black hole and then dropped in, it was shown by Unruh and Wald that the generalized second law of black hole thermodynamics holds,…

General Relativity and Quantum Cosmology · Physics 2016-08-25 M. A. Pelath , Robert M. Wald

We study the variation of the massive black hole in both normal and extended thermodynamic phase spaces via two methods. The first method includes a charged particle absorbed by the black hole, while the second method includes a shell of…

General Relativity and Quantum Cosmology · Physics 2020-10-02 Shi-Qian Hu , Bo Liu , Xiao-Mei Kuang , Rui-Hong Yue

Between 1972 and 1975, Jacob Bekenstein proposed that black holes possess entropy proportional to their horizon area, and Stephen Hawking derived this relationship from semiclassical quantum field theory in curved spacetime, predicting…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Ricardo Bulcão Valente Ferrari , Samuel Bueno Soltau

We study a spherical black hole surrounded by a hot self-gravitating thin shell in the canonical ensemble, i.e., a black hole and a hot shell inside a heat reservoir acting as a boundary with its area and temperature fixed. To work out the…

High Energy Physics - Theory · Physics 2023-11-07 José P. S. Lemos , O. B. Zaslavskii